Exercise 1. Illustrate the value of the following t-distributions. a. two-tailed with a = 10% and df=10. b. one-tailed with a = 5% and df=18. c. two-tailed with a = 5% and n=29.
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Q: A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of…
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- A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.6; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a)A psychologist believes that youths identified as lesbian, gay, or bisexual already know their sexual orientation before they turned 18. To verify this, she took a random sample of 654 young adults that identified as lesbian, gay, or bisexual and asked them the age when they first realized their sexual orientation. It is known that the mean age when a young adult first realized they might be lesbian, gay, or bisexual is normally distributed. R COMMANDER OUTPUT sd se (mean) mean n 14.72199 14.9814 0.57568 654 95 percent confidence interval: 13.572 15.872Given are 4 observations for the monthly expenditure (in 1000s) for a group of families. Monthly expenditure2.12.32.42.8 Monthly expenditure 2.1 2.3 2.4 2.8 The value of the 35th percentile is equal to Select one: a. 2.1 2.1 b. 1.4 1.4 c. 2 2 d. 2.3
- Consider the following frequency distribution of x values X 5 10 20 25 F 3 7 8 2 The mean of the data value is ?Listed below, from left to right and then top to bottom, are numbers of law enforcement fatalities for 20 recent and consecutive years. First find the mean, identify each value as being above the mean (A) or below the mean (B), then test for randomness above and below the mean using α = 0.05. Is there a trend? 183 140 173 172 144 163 242 159 150 165 164 155 191 147 124 160 171 125 106 116 The mean is. (Type an integer or a decimal. Do not round.) CIn a Normal distribution, the Empirical Rule states that... ["", "", "", "", ""] of the data is within 1 standard deviation of the mean, ["", "", "", "", ""] of the data is within 2 standard deviation of the mean, and ["", "", "", "", ""] of the data is within 3 standard deviation of the mean.
- 2 Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of −0.85. z-score -1.00 -0.95 -0.90 -0.85 -0.80 -0.75 -0.70 Percentile 15.87 17.11 18.41 19.77 21.19 22.66 24.20 z-score -0.65 -0.60 -0.55 -0.50 -0.45 -0.40 -0.35 Percentile 25.78 27.43 29.12 30.85 32.64 34.46 36.32 z-score -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 0.00 Percentile 38.21 40.13 42.07 44.04 46.02 48.01 50.00 a. The percentage of data items that lie below the z-score is ______%. b. b. above a z-score of −0.85: ________.A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. 1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 2. Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) ( , ) (iii) Calculate the error bound. (Round your answer to two decimal places.)A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.
- Find the mean deviation about median for the following distribution : x : 5 7 11 13 15 17 f: 2 4 6 8 10 12 8Week no. 5- Exercises. Normal Distributions(part 1) I.Find the area of the following in percent (%). 1. z = 1.57 2. z = 2.81 3. From z = 1.0 to z = 3.02 4. From z = -3.02 to z = 1.0 5. From z = 2.09 to z = 3.0 6. z > 1.34 7. z -1.11 9.2 < -1.11 10. To the right of Z=- 2.29
